金属边界波导中电磁波衍射问题的超定边值问题方法

2006 International Conference on Mathematical Methods in Electromagnetic Theory Pub Date : 2006-09-11 DOI:10.1109/MMET.2006.1689816

I. Pleshchinskii, N. Pleshchinskii

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引用次数: 2

摘要

研究了半无穷柱面上具有柯西条件的麦克斯韦方程组的辅助过定问题。在任意截面的情况下，得到了连接曲面上解的轨迹的积分恒等式。利用这些恒等式设计了金属边波导中不同非均匀性衍射问题积分方程的正则化方法。研究了二维情况下半开半无限波导的过定边值问题

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The Over-Determined Boundary Value Problem Method for the Problems of Electromagnetic Waves Diffraction in the Waveguides with Metallic Bounds

The auxiliary over-determined problems for the Maxwell equations set in the semi-infinity cylindrical domains with Cauchy conditions on the face are considered. The integral identities connecting the traces of the solutions on the face are obtained in the case of arbitrary cross-section of the domain. These identities are used to design the regularization method for integral equations of the diffraction problem on the different inhomogeneities in the waveguides with metallic sides. The over-determined boundary value problem for semi-opened semi-infinite waveguide in the two-dimensional case is investigated

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2006 International Conference on Mathematical Methods in Electromagnetic Theory

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